Clojure core.spec question: composing s/keys with s/and

keys_with_and_question.clj

;; using Clojure 1.9-alpha7

(ns keys-with-and-question
  (:require [clojure.spec :as s]
            [clojure.spec.gen :as gen]))

(s/def ::id string?)
(s/def ::active? boolean?)
(s/def ::extra int?)
(s/def ::base (s/keys :req-un [::id] :opt-un [::active?]))

(s/def ::base-with-extra (s/keys :req-un [::id ::extra] :opt-un [::active?]))
(s/def ::base-with-extra-with-and (s/and ::base (s/keys :req-un [::extra])))

(comment
  (s/conform ::base {:id "1" :active? true})

  ;; {:id "1", :active? true}

  (gen/generate (s/gen ::base))

  ;; {:id "eXhlTPP6FvBCF", :active? true}

  (s/conform ::base-with-extra {:id "1" :active? true :extra 123})

  ;; {:id "1", :active? true, :extra 123}

  (gen/generate (s/gen ::base-with-extra))

  ;; {:id "6XGsmcQwui2hz7Tw10960E7Kw", :extra -13542}
  ;; {:id "BP6S79", :extra -5305490, :active? true}

  (s/conform ::base-with-extra-with-and {:id "1" :active? true :extra 123})

  ;; {:id "1", :active? true, :extra 123}

  ;; but...

  (gen/generate (s/gen ::base-with-extra-with-and))

  ;; Throws ex-info: "Couldn't satisfy such-that predicate after 100 tries."
  
  ;; My questions: 
  ;; - Is composing `s/keys` with `s/and` offically supported? It certainly appears to validate and conform!
  ;; - If it is, how would we write a generator for it?

  )

Ok, great, thank you -- I had not realised the guide covers this.

So, the case I'm trying to solve for, is spec reuse. The with-extra case is actually one of many; I don't want to duplicate all of base into each of the many extra cases -- I want to reuse base with s/and, as I have done there. And that works, when validating and conforming, which is awesome!

What I'd like to know is how to write a generator for it, because that'd be even more awesome.

Given what you've just answered, It seems like I may have to write a generator of my own that merges the base spec with the extra spec. I'm guess what I'm hoping is I can do this with out redeclaring the nature of the specs just for the generator.

Thanks, @puredanger!